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saul85 [17]
3 years ago
15

Please rezolve this, thank you in advance

Mathematics
2 answers:
alina1380 [7]3 years ago
6 0

Answer:

1

Step-by-step explanation:

The first factor is (5^6)^3.  Multiply the exponents 6 and 3 together, obtaining 5^18.  Next, rewrite 25^3 as (5^2)^3, or 5^6.  Finally, write 125^8 as (5^3)^8.  

Then we have:

5^18 * 5^6           5^24

---------------- = --------------- = 1

(5^3)^8               5^24

---------* 25^3

125^8

blondinia [14]3 years ago
4 0

Answer:

1

Step-by-step explanation:

If you break down each part into 5 to the power of something, you get the following:

5^{18}*5^{6}:5^{24}

When you simplify this, you get:

5^{24}:5^{24}, which simplifies to 1

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8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2
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The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ  

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ  = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

brainly.com/question/11897796

#SPJ9

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Step-by-step explanation:

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